Answer:
9968
Step-by-step explanation:
178×56=178×(50+6)
=178×50+178×6
=8900+(170+8)×6
=8900+170×6+8×6
=8900+1020+48
=9968
First, simplify the two inequalities.
2x - 5 < 7
2x < 12 <-- Add 5 to each side
x < 6 <-- Divide both sides by 2
4x + 10 > 6
4x > -4 <-- Subtract both sides by 10
x > -1 <-- Divide both sides 4
Now we have the compound inequality x < 6 OR x > -1
To fulfill the first inequality, x has to be less 6. For the second inequality, x has to bigger than -1.
So, the answer is B. (-infinity, infinity).
Answer:
Step-by-step explanation:
Given: m∠1 = 62° and lines t and l intersect
Prove: m∠4 = 62°
Proof:
Statement Reason
m∠1 = 62° Given
m∠1 , m∠2 are supplementary t is a straight line hence linear pair.
m∠4 , m∠2 are supplementary r is a straight line hence linear pair.
Angle 2=180-62 = 118 Definition of supplementary angles
Angle 4 = 180-118 =62 -do-
Angle 1 = Angle 4 Equality property
Hence proved
Answer:
68.04
Step-by-step explanation:
The volume of a sphere is found from the equation V=4/3πr
r is the radius.
If the radius is 45 cm and pi is about 3.14, you can rewrite and equation as V=4/3(3.14)(45)
Then just solve by multiplying all the terms!
4/3(3.14) = 4.19
4.19(45) = 188.55
So the volume of the ball is 188.55 cm cubed.